English

[Infinite Order of Growth of Solutions of Second Order Linear Differential Equations

Complex Variables 2021-01-19 v1

Abstract

Considering differential equation f''+A(z)f'+B(z)f=0, where A(z) and B(z) are entire complex functions, our results revolve around proving all non-trivial solutions are of infinite order taking various restrictions on coefficients A(z) and B(z).

Keywords

Cite

@article{arxiv.2101.06413,
  title  = {[Infinite Order of Growth of Solutions of Second Order Linear Differential Equations},
  author = {Naveen Mehra and V. P. Pande},
  journal= {arXiv preprint arXiv:2101.06413},
  year   = {2021}
}